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liubo4ka [24]
3 years ago
9

Solve for x: -1/2(-4+2x) = -6 - 4x

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0
-\dfrac{1}{2}(-4+2x)=-6-4x\ \ \ \ \ |multiply\ both\ sides\ by\ (-2)\\\\-4+2x=12+8x\ \ \ \ |add\ 4\ to\ both\ sides\\\\2x=16+8x\ \ \ \ \ |subtract\ 8x\ from\ both\ sides\\\\-6x=16\ \ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\x=-\dfrac{16}{6}\\\\x=-\dfrac{8}{3}\\\\\boxed{x=-2\frac{2}{3}}
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At an ocean depth of 8 meters, a buoy bobs up and then down 5 meters from the ocean's depth. Sixteen seconds pass from the time
lisov135 [29]

Answer:

  See attached for a graph

Step-by-step explanation:

We're going to plot sea level as y=0 and a depth of 8 meters as y=-8.

The problem statement tells you the initial point (x=0) is at normal ocean depth (y=-8), so the first point you put into your sine tool is ...

  (x, y) = (0, -8)

The buoy takes 16 seconds to go from a high point to a low point, so the time to the first high point is half that, or x=8 seconds. That high point is 5 meters above its average depth, so is at y=-3.

The second point you will put into your sine tool is ...

  (x, y) = (8, -3)

7 0
2 years ago
Place the following objects in order from greatest to least gravitational force. Explain your answer.
kozerog [31]

well when thinking of gravity you have to think of the size and mass of the object so,

The sun (largest and most mass)

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7 0
2 years ago
Find the range of the function:<br><br> f(x) = x + 3, for x ≠ 1
Tju [1.3M]

Answer:

All Real Numbers except for 4

Step-by-step explanation:

Objective: Specify domain and range of a function.

The equation is a linear equation. A linear equation range is all real numbers. However x cannot equal 1 so let plug in x to find where the y value CANT be.

f(1) = 1 + 3 = 4

So the range is

All Real Numbers except for 4.

3 0
2 years ago
What number sentence dose the number line represent??? Help thanks
Orlov [11]
0i think the answer is -3+2
8 0
3 years ago
Read 2 more answers
Evaluate -2x2 y, if x = -3 and y = -1
Gre4nikov [31]
The answer is -12
these are the steps on how to find that 
-2x2y
-2(-3)2(y)
6 times -2
-12
6 0
3 years ago
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